given the function f(x) = 1/x, find the point x=a, such that the tangent line to y= f(x) at that point intersect the y-axis at y=-2

given the function f(x) = 1/x, find the point x=a, such that the tangent line to y= f(x) at that point intersect the y-axis at y=-2

F(X)=CSC X, -PI/2≤x≤3pi/2

A) f(x) = sqr (x) Find the tangent line for x = 25. B) using the tangent line in a, find the approximation of sqr (26) I know how to do part A but I don't know how to...

Consider a uniform rod with length L and mass M placed on the x-axis between the points (-1/3*L, 0) and (2/3*L, 0). Determine the moment of inertia of the rod for rotation about the y-axis...

Consider a uniform rod with length L and mass M placed on the x-axis between the points (-1/3*L, 0) and (2/3*L, 0). Determine the moment of inertia of the rod for rotation about the y-axis...

The cup on the 9th hole of a golf course is located dead center in the middle of a circular green which is 40 feet in radius. Your ball is located as in the picture below. The ball follows a straight...

You and a friend are racing motorcycles. You take off south going 3 m/s, then 2 seconds later your friend goes west going 4 m/s. Find a formula for D(t), the distance in meters between you and your...

A roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit and is placed on a table in a room where the temperature is 75 Fahrenheit. Give answers accurate to at least...

Find y′ if x^(3y) = y^(2x). 1. y′= 3y^2(ln x − 1) 3y ln x + 2x 2. y′ = y^2(ln x − 1) ...

a. Describe the motion of a particle with position (x, y) as t varies in the given interval. x = 4 + 3 cos t, y = 4 + 3 sin t, pi/2 ≤ t ≤ 3pi/2 b. Describe the motion of...

How might using the fundamental Theorem of Calculus solve an important problem in your field?

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solve this equation

I'm having trouble understanding this problem. Make the substitution u=ex to express the integrand as a rational function with three linear factors in the denominator, one of which...

-A man has 61 clients -Clients are growing at a rate of 1.8 per year. -His profits are $631.42 per client per year. -His profits are dropping $12.41 per client per year. I need to...

dx/dt=2,dx/dt=2, and dy/dt=6,dy/dt=6, find dz/dtdz/dt when x=6x=6 and y=8. z^2=x^2+y^2 z=(x^2+y^2)^(1/2) dz/dt= ..I'm stuck at this point how do I differentiate...

Let f be a function defined for all real numbers. Also, let f', the derivative of f, be defined as f'(x)=((x-2)^3))/x. Options are (-Infinite, 0) and (2, infinite) (-Infinite,...

I believe I am supposed to use the chain rule? I am still new to the concept so please, step by step how would I solve this?

the particle is moving along the curve y=sqrtx. As the particle passes through the point(4,2) its x-coordinate increases at a rate of 3cm/s. How fast is the distance from the particle to the...

u=TANH(X/2), EXPRESS SINH X IN TERMS OF U

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